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Existence and Uniqueness of Positive Solution for a Fractional Dirichlet Problem with Combined Nonlinear Effects in Bounded Domains

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  • Imed Bachar
  • Habib Mâagli

Abstract

We prove the existence and uniqueness of a positive continuous solution to the following singular semilinear fractional Dirichlet problem , in where is a bounded -domain in and denotes the Euclidian distance from to the boundary of The nonnegative weight functions are required to satisfy certain hypotheses related to the Karamata class. We also investigate the global behavior of such solution.

Suggested Citation

  • Imed Bachar & Habib Mâagli, 2013. "Existence and Uniqueness of Positive Solution for a Fractional Dirichlet Problem with Combined Nonlinear Effects in Bounded Domains," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-9, August.
    • Handle: RePEc:hin:jnlaaa:295480
    DOI: 10.1155/2013/295480
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